Role of Newtonian heating on a Maxwell fluid via special functions: memory impact of local and nonlocal kernels

Advances in Difference Equations

Abdullah M. Alsharif¹  Y. S. Hamed¹  Fatima Javed²  Muhammad Abbas³  Nazish Iftikhar⁴  Muhammad Bilal Riaz⁵ 

[1] Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, 21944, Taif, Saudi Arabia;Department of Mathematics, University of Lahore, 54000, Lahore, Pakistan;Department of Mathematics, University of Sargodha, Sargodha, Pakistan;Department of Science & Humanities, National University of Computer and Emerging Sciences, 54000, Lahore Campus, Pakistan;Institute for Groundwater Studies (IGS), University of the Free State, 9301, Bloemfontein, South Africa;Department of Mathematics, University of Management and Technology, 54770, Lahore, Pakistan;Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, 1/15 Stefanowskiego St., 90-924, Lodz, Poland;

关键词: Maxwell fluid;    MHD;    Fractional-order derivatives;    Laplace transform;    Newtonian heating;   

DOI  :  10.1186/s13662-021-03658-5

来源: Springer

【 摘 要 】

The impact of Newtonian heating on a time-dependent fractional magnetohydrodynamic (MHD) Maxwell fluid over an unbounded upright plate is investigated. The equations for heat, mass and momentum are established in terms of Caputo (C), Caputo–Fabrizio (CF) and Atangana–Baleanu (ABC) fractional derivatives. The solutions are evaluated by employing Laplace transforms. The change in the momentum profile due to variability in the values of parameters is graphically illustrated for all three C, CF and ABC models. The ABC model has proficiently revealed a memory effect.

【 授权许可】

CC BY